Solve the Bernoulli equations given below dy, y dx 2x %3D

Q: Solve the given Ricatti equation dy = e2* +(1+2e* ]y +y²,y, =-e*is a known solution of the equation.…

A: Given, the Ricatti equation                                                 dydx=e2x+1+2exy+y2…

Q: Solve the following Bernoulli Equations. (show complete solutions) a.) (3x - 2y + 1)dx + (3x - 2y +…

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Q: Solve the IVP (2xy?+4)=2(3-x²y)- y(-1)%3D8 the constant Cis dx

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Q: B. Determine the solution set of the following equations using exact equations. 5. xy dx + (y2 +…

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Q: Solve Dipferential Eg. 3. dy dx 2xy' e +2xy +Y こ 2

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Q: Solve the equation: (dy/dx) + (3y/x) + 2 = 3x, y(1) = 1. %3D

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Q: Find the general solution for the given equation: y’’ + y = csc x

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Q: Find the general solution to the following equations: dy у-х dx y+x

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Q: 12. (D² + D)y = -cosx %3D

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Q: Solve for the general solution of the following equations: dy _Y = y е. dx

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Q: Solve an exact equation?  M(x,y) + N(x,y)*dy/dx = 0

A: Given: M(x,y)+N(x,y)(dydx)=0

Q: Solve each of the equations. Integrating Factors 3x?y + 3y dx + (2x3 + 6In х) dy %3D0

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Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve the Bernoulli equation. -8 . 3xy'+y=Dy °, x>0

A: Given Bernoulli equation3xy'+y=y-8   , x>0

Q: dy + y? d.x xY

A: The given equation is a first order Bernoulli ODE has the form of y’ + p (x) y = q(x) yn   The given…

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: Find the solution of the following equations using method of substitutions. A. (2x-2y+1)dx +…

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Q: Write the given Bernoulli equation in standard form and Solve the equation t2 + 3y? y' t > 0. 2ty

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Q: Part I Solve for the general solution of the following equations: (5xy – 2y)dx + (3x'y-x)dy = 0 b.

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Q: Test the equation for exactness and solve the equation: (1+ y?)dx + (x²y + y)dy = 0

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Q: Solve the following Bernoulli equation y' – y = (2t – 3)y i

A: Bernoulli Equation : Consider y'+p(x) y=q(x)ynThen we let v=y1-nAnd solve the equation by…

Q: Solve the following Bernoulli Equations. (Complete solution) a. (3x − 2y + 1)dx + (3x − 2y + 3)dy =…

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Q: Solve the equations and simplify the final answer. 1. (x + y- 1) dx + (2x + 2y +1) dy = 0

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Q: dx + y²x = x?y dy

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Q: Find d (a) (1? – V)] dx

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Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Find the general solution. dy - 2y +4x3 dx

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Q: Obtain the general solution using Bernoulli's equation. Simplify your final ansv answer. ix- 6* dy =…

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Q: Solve the deferential equations dy x2. = xy – y? dx

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Q: solve the equations by using Bernoulli's equation. 1) x^2.y' - y^3 = xy 2) y' + p(x)y = f(x)y ln y

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Q: 3x(xy – 2) dx + (x³ + 2y) dy = 0

A: Given differential equation is     3xxy-2dx+x3+2ydy=0

Q: Solve the general solution dy = 1+x + y? + x²y? %3D dx

A: Given,           dydx=x2 + 1 + y2 + x2y2

Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: Exact equations (бх + у?)dx + yу(2ху — Зу?)dy %3D 0

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Q: 1. Solve the following first order equations: (b) (e² + y)dx + (2+ x+ ye")dy = 0, y(0) = 1.

A: Solution

Q: y dx + (3x – xy + 2) dy = 0 -

A: As per the instruction, we will be solving only the first one. For (4),We will solve it by Exact…

Q: Solve the diffrential equation.(pls step bu step and clearly) (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

A: We have given differential equation is…

Q: (3x'у — х?) dx + dy -0 а. b. dx – 2xy dy = 0

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Q: Solve the deferential equations dy x T+y = e* dx

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Q: Solve by making the equation into an exact equation. (2 – x - y) dx + (3 +x + y) dy = 0

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Q: Solve the following Bernoulli equation: dy - = 4y-2 y² dx 1 y = B A 1 y = Ce 4 В A B y =Ce¯4* + A A…

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Q: 3. 2X dy 2. %3D

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Q: Solve the general solution dy =1+x+y? +x²y? dx

A: A differential equation is an equation in x,y and derivatives of y. A separable differential…

Q: Use the mothed of arlation of parameters to find the general solution of the following equations. a)…

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Q: Solve the diffedential equation 2 e ys + y de ]dy-o

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Q: Solve the equation. dy dx dx -- dy %3D

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.